Classical solution of a problem with integral conditions of the second kind for the one-dimensional wave equation

DOI10.1134/S0012266119030091zbMath1416.35154OpenAlexW2941078348WikidataQ115250628 ScholiaQ115250628MaRDI QIDQ2313332

I. S. Kozlovskaya, S. N. Naumavets, V. I. Korzyuk

Publication date: 19 July 2019

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266119030091

zbMATH Keywords

linear Fredholm integral operator along the lateral sidetwo nonlocal integral conditions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09)

Related Items (2)

Goursat-type nonlocal problem for a fourth-order loaded equation ⋮ Nonlocal problems for hyperbolic equations

Cites Work

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• Classical solution of a problem with an integral condition for the one-dimensional wave equation
• Optimization of the control by elastic boundary forces at two ends of a string in an arbitrarily large time interval
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• Boundary value problems with integral conditions for multidimensional hyperbolic equations
• CLASSICAL SOLUTION FOR INITIAL–BOUNDARY VALUE PROBLEM FOR WAVE EQUATION WITH INTEGRAL BOUNDARY CONDITION
• Optimization of boundary controls of string vibrations

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